Such superpositions psieff over different tensor networks, have been postulated as models of gravitational states in AdS/CFT [1]}, [2]}, [3]}, [4]}, [5]}, see also [6]}. In particular these states allow for non-trivial fluctuations in the area of the RT surface, and do not suffer from the issue of a flat entanglement spectrum that is not expected in typical holographic states. Each wavefunction in the superposition is then thought of as a fixed area state, where the gravitational state is projected onto approximate eigenstates of the area operator.
